SPHERICALLY SYMMETRIC GRAVITATIONAL COLLAPSE OF A DUST CLOUD IN EINSTEIN–GAUSS–BONNET GRAVITY

2011/07/14 by KANG ZHOU, Kang Zhou, ZHAN-YING YANG +5 · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Counterexample #Gravitation #Gravitational collapse #Gravitational field #Naked singularity #Noncommutative and Quantum Gravity Theories #Singularity #Spacetime #gr-qc #hep-th

paper · pdf · doi:10.1142/s0217732311036449

published as Mod.Phys.Lett.A26:2135-2147,2011 · 16 pages, 4 figures and accepted by Mod. Phys. Lett. A

arxiv created 2011/07/14 · openalex publication_date 2011/09/14 · arxiv updated 2011/10/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We explore the gravitational collapse of a spherically symmetric dust cloud in the Einstein–Gauss–Bonnet gravity without a cosmological constant, and obtain three families of LTB-like solutions. It is shown that the Gauss–Bonnet term has a profound influence on the nature of singularities, and the global structure of spacetime changes drastically from the analogous general relativistic case. Interestingly, the formation of a naked, massive and uncentral singularity, allowed in five-dimensional spacetime, is forbidden if D≥6. Moreover, such singularity is gravitational strong and a serious counterexample to CCH.

Citations

• The Steady-State Theory of the Expanding Universe
• Higher dimensional inhomogeneous dust collapse and cosmic censorship
• The Large Scale Structure of Space-Time
• Gravitational lensing by naked singularities
• Gravitational Collapse and Space-Time Singularities
• Inhomogeneous spacetimes as a dark energy model
• Strengths of naked singularities in Tolman-Bondi spacetimes
• The geometry of photon surfaces
• On Continued Gravitational Contraction

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• Anisotropic stars in 4 D Einstein–Gauss–Bonnet gravity